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2 years ago

Helppppppp pleaseee

Mathematics

1 answer:

Viktor [21]2 years ago

5 0

Answer:

$x=2\sqrt{5}$

Step-by-step explanation:

If that is a square, then all sides are the same. Therefore, it's a $\sqrt{10}$ by $\sqrt{10}$ shape. We'll use Pythagorean Theorem to find the diagonal.

$a^2+b^2=c^2\\\sqrt{10}^2+ \sqrt{10}^2=x^2\\10+10=x^2\\20=x^2\\\sqrt{20}=x\\\sqrt{4*5}=x\\ 2\sqrt{5}=x$

Since it's not a fraction, there is no denominator to rationalize. Let me know if you have any other questions!

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15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS

maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0

2 years ago

Read 2 more answers

If it's 7:30 what time will it gets in an hour and a quarter?

slava [35]

Answer:

8:55

Step-by-step explanation:

7:30 plus 1 hour is 8:30. Quarter is 25 or 1/4. Then you add 8:30 plus 25 which gives you 8:55.

7 0

2 years ago

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Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and

-Dominant- [34]

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

7 0

3 years ago

Teri was 10 km race she has completed 74% of the way race when the winner crosses to finish there are approximately 2.48 miles i

andriy [413]

The distance Terry needs to run when the winner crosses the finish line is 1. 6 miles.

<h3>How to find the distance Terry needs to run?</h3>

The race was a 10 km race and she has completed 74% of the race when the winner crosses the finish line.

Therefore, the number of more miles Terry need to cover can be calculated as follows:

74 / 100 × 10 = 740 / 100 = 7.4 km

He has covered 7.4 km.

The distance remaining to cover = 10 km - 7.4 km = 2.6 km

Therefore,

4km = 2.48 miles

2.6 km = ?

cross multiply

The distance remaining to cover(miles) = 2.6 × 2.48 / 4

The distance remaining to cover(miles) = 6.448 / 4

The distance remaining to cover(miles) = 1.612

The distance remaining to cover(miles) = 1.6 miles

learn more on distance here:brainly.com/question/13471766

#SPJ1

7 0

1 year ago

. A spinner contains numbers 1-20. What

alexira [117]

Answer:

6/30 for a multiple of 3 and 4/20 for a multiple of 5

Step-by-step explanation:

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2 years ago

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